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   <div id="projectname">SystemSharp
   &#160;<span id="projectnumber">0.3</span>
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   <div id="projectbrief">A system-level modeling framework for designing real-time embedded systems</div>
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<div class="title">Fraction.cs</div>  </div>
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<a href="_fraction_8cs.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">using</span> System;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">using</span> System.Runtime.InteropServices;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">using</span> System.Globalization;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">namespace </span>SystemSharp.DataTypes</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;{</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        </div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    [Serializable, StructLayout(LayoutKind.Sequential)]</div>
<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">  119</a></span>&#160;    <span class="keyword">public</span> <span class="keyword">struct </span><a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> : IComparable, IFormattable</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    {</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="preprocessor">        #region Constructors</span></div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(<span class="keywordtype">long</span> wholeNumber)</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            <span class="keywordflow">if</span> (wholeNumber == <span class="keywordtype">long</span>.MinValue)</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                wholeNumber++;  <span class="comment">// prevent serious issues later..</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            m_Numerator = wholeNumber;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            m_Denominator = 1;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            <span class="comment">// no reducing required, we&#39;re a whole number</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        }</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        </div>
<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a8615cf29dd16d032d4da622cbae0a693">  141</a></span>&#160;        <span class="keyword">public</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a8615cf29dd16d032d4da622cbae0a693">Fraction</a>(<span class="keywordtype">double</span> floatingPointNumber)</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            <span class="keyword">this</span> = ToFraction(floatingPointNumber);</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            </div>
<div class="line"><a name="l00152"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#addc1ab8ec8c68cc5b840edd626927fa7">  152</a></span>&#160;        <span class="keyword">public</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#addc1ab8ec8c68cc5b840edd626927fa7">Fraction</a>(<span class="keywordtype">string</span> inValue)</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        {</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            <span class="keyword">this</span> = ToFraction(inValue);</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        }</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            </div>
<div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a56db0568f5e0f9532daf19b453fe0042">  163</a></span>&#160;        <span class="keyword">public</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a56db0568f5e0f9532daf19b453fe0042">Fraction</a>(<span class="keywordtype">long</span> numerator, <span class="keywordtype">long</span> denominator)</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        {</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;            <span class="keywordflow">if</span> (numerator == <span class="keywordtype">long</span>.MinValue)</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                numerator++;    <span class="comment">// prevent serious issues later..</span></div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;            <span class="keywordflow">if</span> (denominator == <span class="keywordtype">long</span>.MinValue)</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;                denominator++;  <span class="comment">// prevent serious issues later..</span></div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;            m_Numerator = numerator;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;            m_Denominator = denominator;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;            ReduceFraction(ref <span class="keyword">this</span>);</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        }</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <span class="keyword">private</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(Indeterminates type)</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        {</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;            m_Numerator = (long)type;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;            m_Denominator = 0;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;            <span class="comment">// do NOT reduce, we&#39;re clean as can be!</span></div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        }</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="preprocessor">        #region Properties</span></div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keywordtype">long</span> Numerator</div>
<div class="line"><a name="l00194"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a30d33a0fd87b7e477f7bac2fc2e5636e">  194</a></span>&#160;        {</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;            <span class="keyword">get</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;            {</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;                <span class="keywordflow">return</span> m_Numerator;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;            }</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;            set</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;            {</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                m_Numerator = value;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;            }</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;        }</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;        <span class="keyword">public</span> <span class="keywordtype">long</span> Denominator</div>
<div class="line"><a name="l00210"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ac577e18a56bdd6c6e2cd4de7178b1bc9">  210</a></span>&#160;        {</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;            <span class="keyword">get</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;            {</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;                <span class="keywordflow">return</span> m_Denominator;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;            }</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            set</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;            {</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;                m_Denominator = value;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            }</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        }</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;<span class="preprocessor">        #region Expose constants</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#afc8dab8c65d68fa44baf477f8d3f5efc">  223</a></span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> readonly <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> NaN = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(Indeterminates.NaN);</div>
<div class="line"><a name="l00224"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a53a6213815807f11f6f5559dae95a7ae">  224</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> readonly <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> PositiveInfinity = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(Indeterminates.PositiveInfinity);</div>
<div class="line"><a name="l00225"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a230f2f4d1bda37e62c80443dcd50023b">  225</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> readonly <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> NegativeInfinity = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(Indeterminates.NegativeInfinity);</div>
<div class="line"><a name="l00226"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad6a196ead93fe4a3ec77c25b0c79ce66">  226</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> readonly <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> Zero = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(0,1);</div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a0c2b038514b4fd1d687e4e5dd416aadd">  227</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> readonly <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> Epsilon = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(1, Int64.MaxValue);</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;        <span class="keyword">private</span> <span class="keyword">static</span> readonly <span class="keywordtype">double</span> EpsilonDouble = 1.0 / Int64.MaxValue;</div>
<div class="line"><a name="l00229"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a7f926eb6d1b285bdcc1b461ab3fa7e27">  229</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> readonly <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> MaxValue = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(Int64.MaxValue, 1);</div>
<div class="line"><a name="l00230"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a9b56f768580b49f14cc12970293d9c16">  230</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> readonly <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> MinValue = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(Int64.MinValue, 1);</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;<span class="preprocessor">        #region Explicit conversions</span></div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="preprocessor"></span><span class="preprocessor">        #region To primitives</span></div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> Int32 ToInt32()</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;        {</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 0)</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;            {</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> <a class="code" href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html">FractionException</a>(<span class="keywordtype">string</span>.Format(<span class="stringliteral">&quot;Cannot convert {0} to Int32&quot;</span>, IndeterminateTypeName(this.m_Numerator)), <span class="keyword">new</span> System.NotFiniteNumberException());</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;            }</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;            <span class="keywordtype">long</span> bestGuess = this.m_Numerator / this.m_Denominator;</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;            <span class="keywordflow">if</span> (bestGuess &gt; Int32.MaxValue || bestGuess &lt; Int32.MinValue)</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;            {</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> <a class="code" href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html">FractionException</a>(<span class="stringliteral">&quot;Cannot convert to Int32&quot;</span>, <span class="keyword">new</span> System.OverflowException());</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;            }</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;            <span class="keywordflow">return</span> (Int32)bestGuess;</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;        }</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;</div>
<div class="line"><a name="l00271"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a44e318ee3a9f44fdb808e9a7d6232e76">  271</a></span>&#160;        <span class="keyword">public</span> Int64 <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a44e318ee3a9f44fdb808e9a7d6232e76">ToInt64</a>()</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;        {</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 0)</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;            {</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> <a class="code" href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html">FractionException</a>(<span class="keywordtype">string</span>.Format(<span class="stringliteral">&quot;Cannot convert {0} to Int64&quot;</span>, IndeterminateTypeName(this.m_Numerator)), <span class="keyword">new</span> System.NotFiniteNumberException());</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;            }</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;            <span class="keywordflow">return</span> this.m_Numerator / this.m_Denominator;</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;        }</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;</div>
<div class="line"><a name="l00286"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ac412f83a39ac147cf2005ab87040be75">  286</a></span>&#160;        <span class="keyword">public</span> <span class="keywordtype">double</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ac412f83a39ac147cf2005ab87040be75">ToDouble</a>()</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        {</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 1)</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;                <span class="keywordflow">return</span> this.m_Numerator;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (this.m_Denominator == 0)</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;            {</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;                <span class="keywordflow">switch</span> (NormalizeIndeterminate(this.m_Numerator))</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;                {</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;                    <span class="keywordflow">case</span> Indeterminates.NegativeInfinity:</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;                        <span class="keywordflow">return</span> double.NegativeInfinity;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;                    <span class="keywordflow">case</span> Indeterminates.PositiveInfinity:</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;                        <span class="keywordflow">return</span> double.PositiveInfinity;</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;                    <span class="keywordflow">case</span> Indeterminates.NaN:</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;                    <span class="keywordflow">default</span>:    <span class="comment">// this can&#39;t happen</span></div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;                        <span class="keywordflow">return</span> double.NaN;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;                }</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;            }</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;            {</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;                <span class="keywordflow">return</span> (<span class="keywordtype">double</span>)this.m_Numerator / (double)this.m_Denominator;</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;            }</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;        }</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;</div>
<div class="line"><a name="l00317"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a6c3c53dc40fd56db94a28e3858a98604">  317</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">override</span> <span class="keywordtype">string</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a6c3c53dc40fd56db94a28e3858a98604">ToString</a>()</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;        {</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 1)</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;            {</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;                <span class="keywordflow">return</span> this.m_Numerator.ToString();</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;            }</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (this.m_Denominator == 0)</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;            {</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;                <span class="keywordflow">return</span> IndeterminateTypeName(this.m_Numerator);</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;            }</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;            {</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;                <span class="keywordflow">return</span> this.m_Numerator.ToString() + <span class="stringliteral">&quot;/&quot;</span> + this.m_Denominator.ToString();</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;            }</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;        }</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;<span class="preprocessor">        #region From primitives</span></div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> ToFraction(<span class="keywordtype">long</span> inValue)</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;        {</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(inValue);</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;        }</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;</div>
<div class="line"><a name="l00351"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad4db07ef36fefda9fd73987fd83b3bd6">  351</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad4db07ef36fefda9fd73987fd83b3bd6">ToFraction</a>(<span class="keywordtype">double</span> inValue)</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;        {</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;            <span class="comment">// it&#39;s one of the indeterminates... which?</span></div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;            <span class="keywordflow">if</span> (<span class="keywordtype">double</span>.IsNaN(inValue))</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;                <span class="keywordflow">return</span> NaN;</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<span class="keywordtype">double</span>.IsNegativeInfinity(inValue))</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;                <span class="keywordflow">return</span> NegativeInfinity;</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<span class="keywordtype">double</span>.IsPositiveInfinity(inValue))</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;                <span class="keywordflow">return</span> PositiveInfinity;</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (inValue == 0.0d)</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;                <span class="keywordflow">return</span> Zero;</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;            <span class="keywordflow">if</span> (inValue &gt; Int64.MaxValue)</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> OverflowException(<span class="keywordtype">string</span>.Format(<span class="stringliteral">&quot;Double {0} too large&quot;</span>, inValue));</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;            <span class="keywordflow">if</span> (inValue &lt; -Int64.MaxValue)</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> OverflowException(<span class="keywordtype">string</span>.Format(<span class="stringliteral">&quot;Double {0} too small&quot;</span>, inValue));</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;            <span class="keywordflow">if</span> (-EpsilonDouble &lt; inValue &amp;&amp; inValue &lt; EpsilonDouble)</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> ArithmeticException(<span class="keywordtype">string</span>.Format(<span class="stringliteral">&quot;Double {0} cannot be represented&quot;</span>, inValue));</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;            <span class="keywordtype">int</span> sign = Math.Sign(inValue);</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;            inValue = Math.Abs(inValue);</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;            <span class="keywordflow">return</span> ConvertPositiveDouble(sign, inValue);</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;        }</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;</div>
<div class="line"><a name="l00387"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5a92238bc9dba5e3f381b4d69a2883f9">  387</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5a92238bc9dba5e3f381b4d69a2883f9">ToFraction</a>(<span class="keywordtype">string</span> inValue)</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;        {</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;            <span class="keywordflow">if</span> (inValue == null || inValue == <span class="keywordtype">string</span>.Empty)</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> ArgumentNullException(<span class="stringliteral">&quot;inValue&quot;</span>);</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;            <span class="comment">// could also be NumberFormatInfo.InvariantInfo</span></div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;            NumberFormatInfo info = NumberFormatInfo.CurrentInfo;</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;            <span class="comment">// Is it one of the special symbols for NaN and such...</span></div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;            <span class="keywordtype">string</span> trimmedValue = inValue.Trim();</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;            <span class="keywordflow">if</span> (trimmedValue == info.NaNSymbol)</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;                <span class="keywordflow">return</span> NaN;</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (trimmedValue == info.PositiveInfinitySymbol)</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;                <span class="keywordflow">return</span> PositiveInfinity;</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (trimmedValue == info.NegativeInfinitySymbol)</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;                <span class="keywordflow">return</span> NegativeInfinity;</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;            {</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;                <span class="comment">// Not special, is it a Fraction?</span></div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;                <span class="keywordtype">int</span> slashPos = inValue.IndexOf(<span class="charliteral">&#39;/&#39;</span>);</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;                <span class="keywordflow">if</span> (slashPos &gt; -1)</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;                {</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;                    <span class="comment">// string is in the form of Numerator/Denominator</span></div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;                    <span class="keywordtype">long</span> numerator = Convert.ToInt64(inValue.Substring(0, slashPos));</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;                    <span class="keywordtype">long</span> denominator = Convert.ToInt64(inValue.Substring(slashPos + 1));</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;                    <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(numerator, denominator);</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;                }</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;                <span class="keywordflow">else</span></div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;                {</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;                    <span class="comment">// the string is not in the form of a fraction</span></div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;                    <span class="comment">// hopefully it is double or integer, do we see a decimal point?</span></div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;                    <span class="keywordtype">int</span> decimalPos = inValue.IndexOf(info.CurrencyDecimalSeparator);</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;                    <span class="keywordflow">if</span> (decimalPos &gt; -1)</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;                        <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(Convert.ToDouble(inValue));</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;                    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;                        <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(Convert.ToInt64(inValue));</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;                }</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;            }</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;        }</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;<span class="preprocessor"></span><span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;<span class="preprocessor">        #region Indeterminate classifications</span></div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keywordtype">bool</span> IsNaN()</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;        {</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 0 </div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;                &amp;&amp; NormalizeIndeterminate(this.m_Numerator) == Indeterminates.NaN)</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;        }</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;</div>
<div class="line"><a name="l00451"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a603216dd81c5030278dc308c05077784">  451</a></span>&#160;        <span class="keyword">public</span> <span class="keywordtype">bool</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a603216dd81c5030278dc308c05077784">IsInfinity</a>()</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;        {</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 0</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;                &amp;&amp; NormalizeIndeterminate(this.m_Numerator) != Indeterminates.NaN)</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;        }</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;</div>
<div class="line"><a name="l00464"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#aac051beaf9ea9fdbcec4dab3b571b9ab">  464</a></span>&#160;        <span class="keyword">public</span> <span class="keywordtype">bool</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#aac051beaf9ea9fdbcec4dab3b571b9ab">IsPositiveInfinity</a>()</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;        {</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 0</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;                &amp;&amp; NormalizeIndeterminate(this.m_Numerator) == Indeterminates.PositiveInfinity)</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;        }</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;</div>
<div class="line"><a name="l00477"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#acd0f3e8bebdd4a1de7a21e9457f7709c">  477</a></span>&#160;        <span class="keyword">public</span> <span class="keywordtype">bool</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#acd0f3e8bebdd4a1de7a21e9457f7709c">IsNegativeInfinity</a>()</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;        {</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 0</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;                &amp;&amp; NormalizeIndeterminate(this.m_Numerator) == Indeterminates.NegativeInfinity)</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;        }</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;<span class="preprocessor">        #region Inversion</span></div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> Inverse()</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;        {</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;            <span class="comment">// don&#39;t use the obvious constructor because we do not want it normalized at this time</span></div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;            <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> frac = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>();</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;            frac.m_Numerator = this.m_Denominator;</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;            frac.m_Denominator = this.m_Numerator;</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;            <span class="keywordflow">return</span> frac;</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;        }</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;</div>
<div class="line"><a name="l00508"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad266761a04216f926d48f6cc429f84a6">  508</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad266761a04216f926d48f6cc429f84a6">Inverted</a>(<span class="keywordtype">long</span> value)</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;        {</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;            <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> frac = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(value);</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;            <span class="keywordflow">return</span> frac.Inverse();</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;        }</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;</div>
<div class="line"><a name="l00519"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#adc059780cc405b747c91db91e59e70f4">  519</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#adc059780cc405b747c91db91e59e70f4">Inverted</a>(<span class="keywordtype">double</span> value)</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;        {</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;            <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> frac = <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(value);</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;            <span class="keywordflow">return</span> frac.Inverse();</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;        }</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;<span class="preprocessor">        #region Operators</span></div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;<span class="preprocessor"></span><span class="preprocessor">        #region Unary Negation operator</span></div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator -(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left)</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;        {</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;            <span class="keywordflow">return</span> Negate(left);</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;        }</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;<span class="preprocessor">        #region Addition operators</span></div>
<div class="line"><a name="l00540"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad84bf99582b53b965b37698cc3d42ed8">  540</a></span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator +(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;        {</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;            <span class="keywordflow">return</span> Add(left, right);</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;        }</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;        </div>
<div class="line"><a name="l00545"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a83f4db7a347d85e73316f78c975135d2">  545</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator +(<span class="keywordtype">long</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;        {</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;            <span class="keywordflow">return</span> Add(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(left), right);</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;        }</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;        </div>
<div class="line"><a name="l00550"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a6a1fd6120bf8377d1ed2a28eed0d07cc">  550</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator +(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">long</span> right)</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;        {</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;            <span class="keywordflow">return</span> Add(left, <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(right));</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;        }</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;</div>
<div class="line"><a name="l00555"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a199064ee3d356538788bc094fdd99ff5">  555</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator +(<span class="keywordtype">double</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;        {</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;            <span class="keywordflow">return</span> Add(ToFraction(left), right);</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;        }</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;        </div>
<div class="line"><a name="l00560"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#abed7bd69788039d9ee56c271be3023c7">  560</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator +(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">double</span> right)</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;        {</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;            <span class="keywordflow">return</span> Add(left, ToFraction(right));</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;        }</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;<span class="preprocessor">        #region Subtraction operators</span></div>
<div class="line"><a name="l00567"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a3773ed5bff8397897f59e0730672b845">  567</a></span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator -(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;        {</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;            <span class="keywordflow">return</span> Add(left, - right);</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;        }</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;        </div>
<div class="line"><a name="l00572"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a3ada3e9baca24ecd6def2f12920b157c">  572</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator -(<span class="keywordtype">long</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;        {</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;            <span class="keywordflow">return</span> Add(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(left), - right);</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;        }</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;        </div>
<div class="line"><a name="l00577"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a661c933c56996cf10a00aeef20125c72">  577</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator -(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">long</span> right)</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;        {</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;            <span class="keywordflow">return</span> Add(left, <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(- right));</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;        }</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;</div>
<div class="line"><a name="l00582"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5e8c038ff95b370e69eb207a82c55dde">  582</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator -(<span class="keywordtype">double</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;        {</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;            <span class="keywordflow">return</span> Add(ToFraction(left), - right);</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;        }</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;        </div>
<div class="line"><a name="l00587"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a4bbc3fb10acb7e523ff60610cb760d76">  587</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator -(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">double</span> right)</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;        {</div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;            <span class="keywordflow">return</span> Add(left, ToFraction(- right));</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;        }</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;<span class="preprocessor">        #region Multiplication operators</span></div>
<div class="line"><a name="l00594"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a70e3316abf63c89274517b7d80ffc377">  594</a></span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator *(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;        {</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;            <span class="keywordflow">return</span> Multiply(left, right);</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;        }</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;        </div>
<div class="line"><a name="l00599"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a4873b1f8f69a0c5e3135cf110232d867">  599</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator *(<span class="keywordtype">long</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;        {</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;            <span class="keywordflow">return</span> Multiply(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(left), right);</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;        }</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;        </div>
<div class="line"><a name="l00604"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ab1e77fb6ed51261e086117108af153c5">  604</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator *(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">long</span> right)</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;        {</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;            <span class="keywordflow">return</span> Multiply(left, <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(right));</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;        }</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;        </div>
<div class="line"><a name="l00609"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a011fb468e51e09574d89f365c5aa1f9c">  609</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator *(<span class="keywordtype">double</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;        {</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;            <span class="keywordflow">return</span> Multiply(ToFraction(left), right);</div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;        }</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;        </div>
<div class="line"><a name="l00614"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a8ea681fc93a83e541af18245b1cfb3fd">  614</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator *(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">double</span> right)</div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;        {</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;            <span class="keywordflow">return</span> Multiply(left, ToFraction(right));</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;        }</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;<span class="preprocessor">        #region Division operators</span></div>
<div class="line"><a name="l00621"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a185d149f06215906c2bd0c9fb9b64851">  621</a></span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator /(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;        {</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;            <span class="keywordflow">return</span> Multiply(left, right.<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a4fa2dc3e8a10f67816b29886e7b33944">Inverse</a>());</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;        }</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;        </div>
<div class="line"><a name="l00626"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a207e4df3a89ebb3c80c459dc1226e306">  626</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator /(<span class="keywordtype">long</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;        {</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;            <span class="keywordflow">return</span> Multiply(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(left), right.<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a4fa2dc3e8a10f67816b29886e7b33944">Inverse</a>());</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;        }</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;        </div>
<div class="line"><a name="l00631"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a1d27eccc4cef209cafdd95f57717c944">  631</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator /(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">long</span> right)</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;        {</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;            <span class="keywordflow">return</span> Multiply(left, Inverted(right));</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;        }</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;        </div>
<div class="line"><a name="l00636"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#aaf0c3a47cf474730f1789b4f3d9076af">  636</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator /(<span class="keywordtype">double</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;        {</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;            <span class="keywordflow">return</span> Multiply(ToFraction(left), right.<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a4fa2dc3e8a10f67816b29886e7b33944">Inverse</a>());</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;        }</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;        </div>
<div class="line"><a name="l00641"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#aa097e500dae02314d8640624a05d38cc">  641</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator /(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">double</span> right)</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;        {</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;            <span class="keywordflow">return</span> Multiply(left, Inverted(right));</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;        }</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;<span class="preprocessor">        #region Modulus operators</span></div>
<div class="line"><a name="l00648"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#af6dd6d8583daeb1bddc68d63bd701579">  648</a></span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator %(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;        {</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;            <span class="keywordflow">return</span> Modulus(left, right);</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;        }</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;        </div>
<div class="line"><a name="l00653"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a50dbd5d2f1a699a50040cdbdfcd347f4">  653</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator %(<span class="keywordtype">long</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;        {</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;            <span class="keywordflow">return</span> Modulus(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(left), right);</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;        }</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;        </div>
<div class="line"><a name="l00658"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a9eb4192926ab1448f254652127213505">  658</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator %(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">long</span> right)</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;        {</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;            <span class="keywordflow">return</span> Modulus(left, right);</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;        }</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;        </div>
<div class="line"><a name="l00663"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#aa589058b7cebf3742721e4920b178d7e">  663</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator %(<span class="keywordtype">double</span> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;        {</div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;            <span class="keywordflow">return</span> Modulus(ToFraction(left), right);</div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;        }</div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;        </div>
<div class="line"><a name="l00668"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5b0376216f2e2c7269175ae19cb85ff4">  668</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> operator %(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">double</span> right)</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;        {</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;            <span class="keywordflow">return</span> Modulus(left, right);</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;        }</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;<span class="preprocessor">        #region Equal operators</span></div>
<div class="line"><a name="l00675"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad89e407b17635d8954c8905ad85a8b82">  675</a></span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator ==(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;        {</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;            <span class="keywordflow">return</span> left.CompareEquality(right, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;        }</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;</div>
<div class="line"><a name="l00680"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a095543b518c0aec3ef2b290e192afd99">  680</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator ==(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">long</span> right)</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;        {</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;            <span class="keywordflow">return</span> left.CompareEquality(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(right), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;        }</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;</div>
<div class="line"><a name="l00685"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#abc1757ae92cba60d17022c8ea167d4a8">  685</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator ==(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">double</span> right)</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;        {</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;            <span class="keywordflow">return</span> left.CompareEquality(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(right), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;        }</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;<span class="preprocessor">        #region Not-equal operators</span></div>
<div class="line"><a name="l00692"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a06bec00ba3c30b89505ad048b4183312">  692</a></span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator !=(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;        {</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;            <span class="keywordflow">return</span> left.CompareEquality(right, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;        }</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;</div>
<div class="line"><a name="l00697"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a82284bbef2e40abe29c2621014706994">  697</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator !=(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">long</span> right)</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;        {</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;            <span class="keywordflow">return</span> left.CompareEquality(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(right), <span class="keyword">true</span>);</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;        }</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;            </div>
<div class="line"><a name="l00702"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a0adb9b34caf9a8fe3b667f21c3f111da">  702</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator !=(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <span class="keywordtype">double</span> right)</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;        {</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;            <span class="keywordflow">return</span> left.CompareEquality(<span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(right), <span class="keyword">true</span>);</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;        }</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;<span class="preprocessor">        #region Inequality operators</span></div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator &lt;(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;        {</div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;            <span class="keywordflow">return</span> left.CompareTo(right) &lt; 0;</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;        }</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;</div>
<div class="line"><a name="l00734"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ae17b1eba0ba2c8873778a351ad1de798">  734</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator &gt;(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;        {</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;            <span class="keywordflow">return</span> left.CompareTo(right) &gt; 0;</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;        }</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;</div>
<div class="line"><a name="l00749"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#afdc045212b1308a2b713ead4ccd39cdf">  749</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator &lt;=(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;        {</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;            <span class="keywordflow">return</span> left.CompareTo(right) &lt;= 0;</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;        }</div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;            </div>
<div class="line"><a name="l00764"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a4aaea2032eaa919a58b64d686b428f78">  764</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> operator &gt;=(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> left, <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right)</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;        {</div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;            <span class="keywordflow">return</span> left.CompareTo(right) &gt;= 0;</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;        }</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;<span class="preprocessor">        #region Implict conversion from primitive operators</span></div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> implicit <span class="keyword">operator</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(<span class="keywordtype">long</span> value)</div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;        {</div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(value);</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;        }</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;</div>
<div class="line"><a name="l00786"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a388f8c91ce6a3cd8851a42c6e809378a">  786</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> implicit <span class="keyword">operator</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(<span class="keywordtype">double</span> value)</div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;        {</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(value);</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;        }</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;</div>
<div class="line"><a name="l00796"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ab19032ea7628a5c0840cc9793f6e5568">  796</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> implicit <span class="keyword">operator</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(<span class="keywordtype">string</span> value)</div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;        {</div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>(value);</div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;        }</div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;<span class="preprocessor">        #region Explicit converstion to primitive operators</span></div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keyword">explicit</span> <span class="keyword">operator</span> int(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> frac)</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;        {</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;            <span class="keywordflow">return</span> frac.ToInt32();</div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;        }</div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;</div>
<div class="line"><a name="l00818"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a955c153f0ffabd9105036f05bb62dcf7">  818</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keyword">explicit</span> <span class="keyword">operator</span> long(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> frac)</div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;        {</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;            <span class="keywordflow">return</span> frac.ToInt64();</div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;        }</div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;</div>
<div class="line"><a name="l00828"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a1a9864dd17a224f14805daaf1146719c">  828</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keyword">explicit</span> <span class="keyword">operator</span> double(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> frac)</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;        {</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;            <span class="keywordflow">return</span> frac.ToDouble();</div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;        }</div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;</div>
<div class="line"><a name="l00838"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ac322ead90905531b63cb218465cd2d01">  838</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> implicit <span class="keyword">operator</span> string(<a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> frac)</div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;        {</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;            <span class="keywordflow">return</span> frac.ToString();</div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;        }</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;<span class="preprocessor"></span><span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;<span class="preprocessor">        #region Equals and GetHashCode overrides</span></div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">override</span> <span class="keywordtype">bool</span> Equals(<span class="keywordtype">object</span> obj)</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;        {</div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;            <span class="keywordflow">if</span> (obj == null || ! (obj is <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>))</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;            <span class="keywordflow">try</span> </div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;            {</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;                Fraction right = (Fraction)obj;</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;                <span class="keywordflow">return</span> this.CompareEquality(right, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;            }</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;            <span class="keywordflow">catch</span></div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;            {</div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;                <span class="comment">// can&#39;t throw in an Equals!</span></div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;            }</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;        }</div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;            </div>
<div class="line"><a name="l00874"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a092fbcfae28ed4e38f127f89baeee4cf">  874</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">override</span> <span class="keywordtype">int</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a092fbcfae28ed4e38f127f89baeee4cf">GetHashCode</a>()</div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;        {</div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;            <span class="comment">// insure we&#39;re as close to normalized as possible first</span></div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;            ReduceFraction(ref <span class="keyword">this</span>);</div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;            <span class="keywordtype">int</span> numeratorHash = this.m_Numerator.GetHashCode();</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;            <span class="keywordtype">int</span> denominatorHash = this.m_Denominator.GetHashCode();</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;            <span class="keywordflow">return</span> (numeratorHash ^ denominatorHash);</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;        }</div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;<span class="preprocessor">        #region IComparable member and type-specific version</span></div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keywordtype">int</span> CompareTo(<span class="keywordtype">object</span> obj)</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;        {</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;            <span class="keywordflow">if</span> (obj == null)</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;                <span class="keywordflow">return</span> 1;   <span class="comment">// null is less than anything</span></div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;            <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a> right;</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;</div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;            <span class="keywordflow">if</span> (obj is <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html">Fraction</a>)</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;                right = (Fraction)obj;</div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (obj is <span class="keywordtype">long</span>)</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;                right = (long)obj;</div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (obj is <span class="keywordtype">double</span>)</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;                right = (double)obj;</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (obj is <span class="keywordtype">string</span>)</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;                right = (string)obj;</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> ArgumentException(<span class="stringliteral">&quot;Must be convertible to Fraction&quot;</span>, <span class="stringliteral">&quot;obj&quot;</span>);</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;            <span class="keywordflow">return</span> this.CompareTo(right);</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;        }</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;</div>
<div class="line"><a name="l00923"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5bb6262b304a2a5d956ca87af4d8f2db">  923</a></span>&#160;        <span class="keyword">public</span> <span class="keywordtype">int</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5bb6262b304a2a5d956ca87af4d8f2db">CompareTo</a>(Fraction right)</div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;        {</div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;            <span class="comment">// if left is an indeterminate, punt to the helper...</span></div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;            <span class="keywordflow">if</span> (this.m_Denominator == 0)</div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;            {</div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;                <span class="keywordflow">return</span> IndeterminantCompare(NormalizeIndeterminate(this.m_Numerator), right);</div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;            }</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;</div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;            <span class="comment">// if right is an indeterminate, punt to the helper...</span></div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;            <span class="keywordflow">if</span> (right.m_Denominator == 0)</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;            {</div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;                <span class="comment">// note sign-flip...</span></div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;                <span class="keywordflow">return</span> - IndeterminantCompare(NormalizeIndeterminate(right.m_Numerator), <span class="keyword">this</span>);</div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;            }</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;</div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;            <span class="comment">// they&#39;re both normal Fractions</span></div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;            CrossReducePair(ref <span class="keyword">this</span>, ref right);</div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;</div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;            <span class="keywordflow">try</span></div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;            {</div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;                checked</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;                {</div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;                    <span class="keywordtype">long</span> leftScale = this.m_Numerator * right.m_Denominator;</div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;                    <span class="keywordtype">long</span> rightScale = this.m_Denominator * right.m_Numerator;</div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;</div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;                    <span class="keywordflow">if</span> (leftScale &lt; rightScale)</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;                        <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;                    <span class="keywordflow">else</span> <span class="keywordflow">if</span> (leftScale &gt; rightScale)</div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;                        <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;                    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;                        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;                }</div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;            }</div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;            <span class="keywordflow">catch</span> (Exception e)</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;            {</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> <a class="code" href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html">FractionException</a>(<span class="keywordtype">string</span>.Format(<span class="stringliteral">&quot;CompareTo({0}, {1}) error&quot;</span>, <span class="keyword">this</span>, right), e);</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;            }</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;        }</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;<span class="preprocessor">        #region IFormattable Members</span></div>
<div class="line"><a name="l00964"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5e15d421dacd0876d907100d8bf8a3c1">  964</a></span>&#160;<span class="preprocessor"></span>        <span class="keywordtype">string</span> System.IFormattable.ToString(<span class="keywordtype">string</span> format, IFormatProvider formatProvider)</div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;        {</div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;            <span class="keywordflow">return</span> this.m_Numerator.ToString(format, formatProvider) + <span class="stringliteral">&quot;/&quot;</span> + this.m_Denominator.ToString(format, formatProvider);</div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;        }</div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;<span class="preprocessor">        #region Reduction</span></div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;<span class="preprocessor"></span>        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">void</span> ReduceFraction(ref Fraction frac)</div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;        {</div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;            <span class="comment">// clean up the NaNs and infinites</span></div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160;            <span class="keywordflow">if</span> (frac.m_Denominator == 0)</div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;            {</div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;                frac.m_Numerator = (long)NormalizeIndeterminate(frac.m_Numerator);</div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;            }</div>
<div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160;</div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;            <span class="comment">// all forms of zero are alike.</span></div>
<div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;            <span class="keywordflow">if</span> (frac.m_Numerator == 0)</div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;            {</div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;                frac.m_Denominator = 1;</div>
<div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160;            }</div>
<div class="line"><a name="l00994"></a><span class="lineno">  994</span>&#160;                </div>
<div class="line"><a name="l00995"></a><span class="lineno">  995</span>&#160;            <span class="keywordtype">long</span> iGCD = GCD(frac.m_Numerator, frac.m_Denominator);</div>
<div class="line"><a name="l00996"></a><span class="lineno">  996</span>&#160;            frac.m_Numerator /= iGCD;</div>
<div class="line"><a name="l00997"></a><span class="lineno">  997</span>&#160;            frac.m_Denominator /= iGCD;</div>
<div class="line"><a name="l00998"></a><span class="lineno">  998</span>&#160;            </div>
<div class="line"><a name="l00999"></a><span class="lineno">  999</span>&#160;            <span class="comment">// if negative sign in denominator</span></div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;            <span class="keywordflow">if</span> ( frac.m_Denominator &lt; 0 )</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;            {</div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;                <span class="comment">//move negative sign to numerator</span></div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;                frac.m_Numerator = - frac.m_Numerator;</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;                frac.m_Denominator = - frac.m_Denominator;  </div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;            }</div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;        }</div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;</div>
<div class="line"><a name="l01015"></a><span class="lineno"><a class="line" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a2ff4d8854d842d043f67594d37799a6b"> 1015</a></span>&#160;        <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a2ff4d8854d842d043f67594d37799a6b">CrossReducePair</a>(ref Fraction frac1, ref Fraction frac2)</div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;        {</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;            <span class="comment">// leave the indeterminates alone!</span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;            <span class="keywordflow">if</span> (frac1.m_Denominator == 0 || frac2.m_Denominator == 0)</div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;            <span class="keywordtype">long</span> gcdTop = GCD(frac1.m_Numerator, frac2.m_Denominator);</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;            frac1.m_Numerator = frac1.m_Numerator / gcdTop;</div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;            frac2.m_Denominator = frac2.m_Denominator / gcdTop;</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;            <span class="keywordtype">long</span> gcdBottom = GCD(frac1.m_Denominator, frac2.m_Numerator);</div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;            frac2.m_Numerator = frac2.m_Numerator / gcdBottom;</div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;            frac1.m_Denominator = frac1.m_Denominator / gcdBottom;</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;        }</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;<span class="preprocessor">        #region Implementation</span></div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;<span class="preprocessor"></span><span class="preprocessor">        #region Convert a double to a fraction</span></div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;<span class="preprocessor"></span>        <span class="keyword">private</span> <span class="keyword">static</span> Fraction ConvertPositiveDouble(<span class="keywordtype">int</span> sign, <span class="keywordtype">double</span> inValue)</div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;        {</div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;            <span class="comment">// Shamelessly stolen from http://homepage.smc.edu/kennedy_john/CONFRAC.PDF</span></div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;            <span class="comment">// with AccuracyFactor == double.Episilon</span></div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;            <span class="keywordtype">long</span> fractionNumerator = (long)inValue;</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;            <span class="keywordtype">double</span> fractionDenominator = 1;</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;            <span class="keywordtype">double</span> previousDenominator = 0;</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;            <span class="keywordtype">double</span> remainingDigits = inValue;</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;            <span class="keywordtype">int</span> maxIterations = 594;    <span class="comment">// found at http://www.ozgrid.com/forum/archive/index.php/t-22530.html</span></div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;            <span class="keywordflow">while</span> (remainingDigits != Math.Floor(remainingDigits) </div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;                &amp;&amp; Math.Abs(inValue - (fractionNumerator / fractionDenominator)) &gt; double.Epsilon)</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;            {</div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;                remainingDigits = 1.0 / (remainingDigits - Math.Floor(remainingDigits));</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;                <span class="keywordtype">double</span> scratch = fractionDenominator;</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;                fractionDenominator =(Math.Floor(remainingDigits) * fractionDenominator) + previousDenominator;</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;                fractionNumerator = (long)(inValue * fractionDenominator + 0.5);</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;                previousDenominator = scratch;</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;                <span class="keywordflow">if</span> (maxIterations-- &lt; 0)</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;                    <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;            }</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">new</span> Fraction(fractionNumerator * sign, (<span class="keywordtype">long</span>)fractionDenominator);</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;        }</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;<span class="preprocessor">        #region Equality helper</span></div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;<span class="preprocessor"></span>        <span class="keyword">private</span> <span class="keywordtype">bool</span> CompareEquality(Fraction right, <span class="keywordtype">bool</span> notEqualCheck)</div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;        {</div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;            <span class="comment">// insure we&#39;re normalized first</span></div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;            ReduceFraction(ref <span class="keyword">this</span>);</div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;</div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;            <span class="comment">// now normalize the comperand</span></div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;            ReduceFraction(ref right);</div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;            <span class="keywordflow">if</span> (this.m_Numerator == right.m_Numerator &amp;&amp; <span class="keyword">this</span>.m_Denominator == right.m_Denominator)</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;            {</div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;                <span class="comment">// special-case rule, two NaNs are always both equal</span></div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;                <span class="keywordflow">if</span> (notEqualCheck &amp;&amp; this.IsNaN())</div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;                    <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;                <span class="keywordflow">else</span></div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;                    <span class="keywordflow">return</span> ! notEqualCheck;</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;            }</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;            {</div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;                <span class="keywordflow">return</span> notEqualCheck;</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;            }</div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;        }</div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;<span class="preprocessor">        #region Comparison helper</span></div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;<span class="preprocessor"></span>        <span class="keyword">private</span> <span class="keyword">static</span> <span class="keywordtype">int</span> IndeterminantCompare(Indeterminates leftType, Fraction right)</div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;        {</div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;            <span class="keywordflow">switch</span> (leftType)</div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160;            {</div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160;                <span class="keywordflow">case</span> Indeterminates.NaN:</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;                    <span class="comment">// A NaN is...</span></div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160;                    <span class="keywordflow">if</span> (right.IsNaN())</div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;                        <span class="keywordflow">return</span> 0;   <span class="comment">// equal to a NaN</span></div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;                    <span class="keywordflow">else</span> <span class="keywordflow">if</span> (right.IsNegativeInfinity())</div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;                        <span class="keywordflow">return</span> 1;   <span class="comment">// great than Negative Infinity</span></div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;                    <span class="keywordflow">else</span></div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;                        <span class="keywordflow">return</span> -1;  <span class="comment">// less than anything else</span></div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;</div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;                <span class="keywordflow">case</span> Indeterminates.NegativeInfinity:</div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;                    <span class="comment">// Negative Infinity is...</span></div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;                    <span class="keywordflow">if</span> (right.IsNegativeInfinity())</div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;                        <span class="keywordflow">return</span> 0;   <span class="comment">// equal to Negative Infinity</span></div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160;                    <span class="keywordflow">else</span></div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;                        <span class="keywordflow">return</span> -1;  <span class="comment">// less than anything else</span></div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;</div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;                <span class="keywordflow">case</span> Indeterminates.PositiveInfinity:</div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;                    <span class="keywordflow">if</span> (right.IsPositiveInfinity())</div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;                        <span class="keywordflow">return</span> 0;   <span class="comment">// equal to Positive Infinity</span></div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;                    <span class="keywordflow">else</span></div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;                        <span class="keywordflow">return</span> 1;   <span class="comment">// greater than anything else</span></div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;</div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;                <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;                    <span class="comment">// this CAN&#39;T happen, something VERY wrong is going on...</span></div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;                    <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;            }</div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;        }</div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;<span class="preprocessor">        #region Math helpers</span></div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160;<span class="preprocessor"></span>        <span class="keyword">private</span> <span class="keyword">static</span> Fraction Negate(Fraction frac)</div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;        {</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;            <span class="comment">// for a NaN, it&#39;s still a NaN</span></div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">new</span> Fraction( - frac.m_Numerator, frac.m_Denominator);</div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;        }</div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160;</div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160;        <span class="keyword">private</span> <span class="keyword">static</span> Fraction Add(Fraction left, Fraction right)</div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160;        {</div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;            <span class="keywordflow">if</span> (left.IsNaN() || right.IsNaN())</div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160;                <span class="keywordflow">return</span> NaN;</div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;</div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;            <span class="keywordtype">long</span> gcd = GCD(left.m_Denominator, right.m_Denominator); <span class="comment">// cannot return less than 1</span></div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;            <span class="keywordtype">long</span> leftDenominator = left.m_Denominator / gcd;</div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;            <span class="keywordtype">long</span> rightDenominator = right.m_Denominator / gcd;</div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;</div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;            <span class="keywordflow">try</span></div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;            {</div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;                checked</div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160;                {</div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160;                    <span class="keywordtype">long</span> numerator = left.m_Numerator * rightDenominator + right.m_Numerator * leftDenominator;</div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160;                    <span class="keywordtype">long</span> denominator = leftDenominator * rightDenominator * gcd;</div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;</div>
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160;                    <span class="keywordflow">return</span> <span class="keyword">new</span> Fraction(numerator, denominator);</div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;                }</div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160;            }</div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160;            <span class="keywordflow">catch</span> (Exception e)</div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160;            {</div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> FractionException(<span class="stringliteral">&quot;Add error&quot;</span>, e);</div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160;            }</div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160;        }</div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160;        </div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;        <span class="keyword">private</span> <span class="keyword">static</span> Fraction Multiply(Fraction left, Fraction right)</div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160;        {</div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;            <span class="keywordflow">if</span> (left.IsNaN() || right.IsNaN())</div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;                <span class="keywordflow">return</span> NaN;</div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;</div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;            <span class="comment">// this would be unsafe if we were not a ValueType, because we would be changing the</span></div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;            <span class="comment">// caller&#39;s values.  If we change back to a class, must use temporaries</span></div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;            CrossReducePair(ref left, ref right);</div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;</div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;            <span class="keywordflow">try</span></div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160;            {</div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;                checked</div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160;                {</div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160;                    <span class="keywordtype">long</span> numerator = left.m_Numerator * right.m_Numerator;</div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;                    <span class="keywordtype">long</span> denominator = left.m_Denominator * right.m_Denominator;</div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;</div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;                    <span class="keywordflow">return</span> <span class="keyword">new</span> Fraction(numerator, denominator);</div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;                }</div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;            }</div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160;            <span class="keywordflow">catch</span> (Exception e)</div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;            {</div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> FractionException(<span class="stringliteral">&quot;Multiply error&quot;</span>, e);</div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;            }</div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160;        }</div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;</div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160;        <span class="keyword">private</span> <span class="keyword">static</span> Fraction Modulus(Fraction left, Fraction right)</div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160;        {</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160;            <span class="keywordflow">if</span> (left.IsNaN() || right.IsNaN())</div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;                <span class="keywordflow">return</span> NaN;</div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160;</div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160;            <span class="keywordflow">try</span></div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160;            {</div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;                checked</div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;                {</div>
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160;                    <span class="comment">// this will discard any fractional places...</span></div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160;                    Int64 quotient = (Int64)(left / right);</div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160;                    Fraction whole = <span class="keyword">new</span> Fraction(quotient * right.m_Numerator, right.m_Denominator);</div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;                    <span class="keywordflow">return</span> left - whole;</div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;                }</div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;            }</div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;            <span class="keywordflow">catch</span> (Exception e)</div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160;            {</div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> FractionException(<span class="stringliteral">&quot;Modulus error&quot;</span>, e);</div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;            }</div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160;        }</div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;</div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160;        <span class="keyword">private</span> <span class="keyword">static</span> <span class="keywordtype">long</span> GCD(<span class="keywordtype">long</span> left, <span class="keywordtype">long</span> right)</div>
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;        {</div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160;            <span class="comment">// take absolute values</span></div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160;            <span class="keywordflow">if</span> (left &lt; 0)</div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160;                left = - left;</div>
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160;</div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160;            <span class="keywordflow">if</span> (right &lt; 0)</div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160;                right = - right;</div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;                </div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160;            <span class="comment">// if we&#39;re dealing with any zero or one, the GCD is 1</span></div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160;            <span class="keywordflow">if</span> (left &lt; 2 || right &lt; 2)</div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160;                <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;            <span class="keywordflow">do</span></div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;            {</div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160;                <span class="keywordflow">if</span> (left &lt; right)</div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;                {</div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160;                    <span class="keywordtype">long</span> temp = left;  <span class="comment">// swap the two operands</span></div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160;                    left = right;</div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160;                    right = temp;</div>
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;                }</div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;</div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;                left %= right;</div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;            } <span class="keywordflow">while</span> (left != 0);</div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;</div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;            <span class="keywordflow">return</span> right;</div>
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160;        }</div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160;<span class="preprocessor">        #region Indeterminate helpers</span></div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;<span class="preprocessor"></span>        <span class="keyword">private</span> <span class="keyword">static</span> <span class="keywordtype">string</span> IndeterminateTypeName(<span class="keywordtype">long</span> numerator)</div>
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160;        {</div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160;            <span class="comment">// could also be NumberFormatInfo.InvariantInfo</span></div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160;            System.Globalization.NumberFormatInfo info = NumberFormatInfo.CurrentInfo;</div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160;</div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160;            <span class="keywordflow">switch</span> (NormalizeIndeterminate(numerator))</div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;            {</div>
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160;                <span class="keywordflow">case</span> Indeterminates.PositiveInfinity:</div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;                    <span class="keywordflow">return</span> info.PositiveInfinitySymbol;</div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;</div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160;                <span class="keywordflow">case</span> Indeterminates.NegativeInfinity:</div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;                    <span class="keywordflow">return</span> info.NegativeInfinitySymbol;</div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;</div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160;                <span class="keywordflow">default</span>:    <span class="comment">// if this happens, something VERY wrong is going on...</span></div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;                <span class="keywordflow">case</span> Indeterminates.NaN:</div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;                    <span class="keywordflow">return</span> info.NaNSymbol;</div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;            }</div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160;        }</div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160;</div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160;        <span class="keyword">private</span> <span class="keyword">static</span> Indeterminates NormalizeIndeterminate(<span class="keywordtype">long</span> numerator)</div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160;        {</div>
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160;            <span class="keywordflow">switch</span> (Math.Sign(numerator))</div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;            {</div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160;                <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;                    <span class="keywordflow">return</span> Indeterminates.PositiveInfinity;</div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;</div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;                <span class="keywordflow">case</span> -1:</div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160;                    <span class="keywordflow">return</span> Indeterminates.NegativeInfinity;</div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;</div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;                <span class="keywordflow">default</span>:    <span class="comment">// if this happens, your Math.Sign function is BROKEN!</span></div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160;                <span class="keywordflow">case</span> 0:</div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;                    <span class="keywordflow">return</span> Indeterminates.NaN;</div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;            }</div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160;        }</div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160;</div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;        <span class="comment">// These are used to represent the indeterminate with a Denominator of zero</span></div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160;        <span class="keyword">private</span> <span class="keyword">enum</span> Indeterminates</div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;        {</div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;            NaN = 0</div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160;            , PositiveInfinity = 1</div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160;            , NegativeInfinity = -1</div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160;        }</div>
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160;<span class="preprocessor">        #region Member variables</span></div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;<span class="preprocessor"></span>        <span class="keyword">private</span> <span class="keywordtype">long</span> m_Numerator;</div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160;        <span class="keyword">private</span> <span class="keywordtype">long</span> m_Denominator;</div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;<span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160;<span class="preprocessor"></span><span class="preprocessor">        #endregion</span></div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160;<span class="preprocessor"></span>    }   <span class="comment">//end class Fraction</span></div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160;</div>
<div class="line"><a name="l01352"></a><span class="lineno"><a class="line" href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html"> 1352</a></span>&#160;    <span class="keyword">public</span> <span class="keyword">class </span><a class="code" href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html">FractionException</a> : Exception</div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160;    {</div>
<div class="line"><a name="l01359"></a><span class="lineno"><a class="line" href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html#a4818a8b785f978e1fd665eb3756d80fa"> 1359</a></span>&#160;        <span class="keyword">public</span> <a class="code" href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html#a4818a8b785f978e1fd665eb3756d80fa">FractionException</a>(<span class="keywordtype">string</span> Message, Exception InnerException) : base(Message, InnerException)</div>
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160;        {</div>
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160;        }</div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160;    }   <span class="comment">//end class FractionException</span></div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160;}   <span class="comment">//end namespace Mehroz</span></div>
<div class="ttc" id="class_system_sharp_1_1_data_types_1_1_fraction_exception_html_a4818a8b785f978e1fd665eb3756d80fa"><div class="ttname"><a href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html#a4818a8b785f978e1fd665eb3756d80fa">SystemSharp.DataTypes.FractionException.FractionException</a></div><div class="ttdeci">FractionException(string Message, Exception InnerException)</div><div class="ttdoc">Constructs a FractionException </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l01359">Fraction.cs:1359</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a603216dd81c5030278dc308c05077784"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a603216dd81c5030278dc308c05077784">SystemSharp.DataTypes.Fraction.IsInfinity</a></div><div class="ttdeci">bool IsInfinity()</div><div class="ttdoc">Determines if a Fraction represents Any Infinity </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00451">Fraction.cs:451</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a5a92238bc9dba5e3f381b4d69a2883f9"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5a92238bc9dba5e3f381b4d69a2883f9">SystemSharp.DataTypes.Fraction.ToFraction</a></div><div class="ttdeci">static Fraction ToFraction(string inValue)</div><div class="ttdoc">Converts a string to the corresponding reduced fraction </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00387">Fraction.cs:387</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_aac051beaf9ea9fdbcec4dab3b571b9ab"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#aac051beaf9ea9fdbcec4dab3b571b9ab">SystemSharp.DataTypes.Fraction.IsPositiveInfinity</a></div><div class="ttdeci">bool IsPositiveInfinity()</div><div class="ttdoc">Determines if a Fraction represents Positive Infinity </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00464">Fraction.cs:464</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a8615cf29dd16d032d4da622cbae0a693"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a8615cf29dd16d032d4da622cbae0a693">SystemSharp.DataTypes.Fraction.Fraction</a></div><div class="ttdeci">Fraction(double floatingPointNumber)</div><div class="ttdoc">Construct a Fraction from a floating-point value </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00141">Fraction.cs:141</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a6c3c53dc40fd56db94a28e3858a98604"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a6c3c53dc40fd56db94a28e3858a98604">SystemSharp.DataTypes.Fraction.ToString</a></div><div class="ttdeci">override string ToString()</div><div class="ttdoc">Get the value of the Fraction as a string, with proper representation for NaNs and infinites ...</div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00317">Fraction.cs:317</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_adc059780cc405b747c91db91e59e70f4"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#adc059780cc405b747c91db91e59e70f4">SystemSharp.DataTypes.Fraction.Inverted</a></div><div class="ttdeci">static Fraction Inverted(double value)</div><div class="ttdoc">Creates an inverted Fraction </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00519">Fraction.cs:519</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a56db0568f5e0f9532daf19b453fe0042"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a56db0568f5e0f9532daf19b453fe0042">SystemSharp.DataTypes.Fraction.Fraction</a></div><div class="ttdeci">Fraction(long numerator, long denominator)</div><div class="ttdoc">Construct a Fraction from a numerator, denominator pair </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00163">Fraction.cs:163</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a4fa2dc3e8a10f67816b29886e7b33944"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a4fa2dc3e8a10f67816b29886e7b33944">SystemSharp.DataTypes.Fraction.Inverse</a></div><div class="ttdeci">Fraction Inverse()</div><div class="ttdoc">Inverts a Fraction </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00493">Fraction.cs:493</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_ac412f83a39ac147cf2005ab87040be75"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ac412f83a39ac147cf2005ab87040be75">SystemSharp.DataTypes.Fraction.ToDouble</a></div><div class="ttdeci">double ToDouble()</div><div class="ttdoc">Get the value of the Fraction object as double with full support for NaNs and infinities ...</div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00286">Fraction.cs:286</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a092fbcfae28ed4e38f127f89baeee4cf"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a092fbcfae28ed4e38f127f89baeee4cf">SystemSharp.DataTypes.Fraction.GetHashCode</a></div><div class="ttdeci">override int GetHashCode()</div><div class="ttdoc">Returns a hash code generated from the current Fraction </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00874">Fraction.cs:874</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html">SystemSharp.DataTypes.Fraction</a></div><div class="ttdoc">Classes Contained: Fraction FractionException </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00119">Fraction.cs:119</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_addc1ab8ec8c68cc5b840edd626927fa7"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#addc1ab8ec8c68cc5b840edd626927fa7">SystemSharp.DataTypes.Fraction.Fraction</a></div><div class="ttdeci">Fraction(string inValue)</div><div class="ttdoc">Construct a Fraction from a string in any legal format </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00152">Fraction.cs:152</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a44e318ee3a9f44fdb808e9a7d6232e76"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a44e318ee3a9f44fdb808e9a7d6232e76">SystemSharp.DataTypes.Fraction.ToInt64</a></div><div class="ttdeci">Int64 ToInt64()</div><div class="ttdoc">Get the integral value of the Fraction object as long/Int64 </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00271">Fraction.cs:271</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a5bb6262b304a2a5d956ca87af4d8f2db"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a5bb6262b304a2a5d956ca87af4d8f2db">SystemSharp.DataTypes.Fraction.CompareTo</a></div><div class="ttdeci">int CompareTo(Fraction right)</div><div class="ttdoc">Compares this Fraction to another Fraction </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00923">Fraction.cs:923</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_a2ff4d8854d842d043f67594d37799a6b"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#a2ff4d8854d842d043f67594d37799a6b">SystemSharp.DataTypes.Fraction.CrossReducePair</a></div><div class="ttdeci">static void CrossReducePair(ref Fraction frac1, ref Fraction frac2)</div><div class="ttdoc">Cross-reduces a pair of Fractions so that we have the best GCD-reduced values for multiplication ...</div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l01015">Fraction.cs:1015</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_ad266761a04216f926d48f6cc429f84a6"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad266761a04216f926d48f6cc429f84a6">SystemSharp.DataTypes.Fraction.Inverted</a></div><div class="ttdeci">static Fraction Inverted(long value)</div><div class="ttdoc">Creates an inverted Fraction </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00508">Fraction.cs:508</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_acd0f3e8bebdd4a1de7a21e9457f7709c"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#acd0f3e8bebdd4a1de7a21e9457f7709c">SystemSharp.DataTypes.Fraction.IsNegativeInfinity</a></div><div class="ttdeci">bool IsNegativeInfinity()</div><div class="ttdoc">Determines if a Fraction represents Negative Infinity </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00477">Fraction.cs:477</a></div></div>
<div class="ttc" id="class_system_sharp_1_1_data_types_1_1_fraction_exception_html"><div class="ttname"><a href="class_system_sharp_1_1_data_types_1_1_fraction_exception.html">SystemSharp.DataTypes.FractionException</a></div><div class="ttdoc">Exception class for Fraction, derived from System.Exception </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l01352">Fraction.cs:1352</a></div></div>
<div class="ttc" id="struct_system_sharp_1_1_data_types_1_1_fraction_html_ad4db07ef36fefda9fd73987fd83b3bd6"><div class="ttname"><a href="struct_system_sharp_1_1_data_types_1_1_fraction.html#ad4db07ef36fefda9fd73987fd83b3bd6">SystemSharp.DataTypes.Fraction.ToFraction</a></div><div class="ttdeci">static Fraction ToFraction(double inValue)</div><div class="ttdoc">Converts a double value to the approximate Fraction </div><div class="ttdef"><b>Definition:</b> <a href="_fraction_8cs_source.html#l00351">Fraction.cs:351</a></div></div>
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